A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only one of them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly). Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probabilities for the two events below. i. the student gets exactly 3 questions correct. ii. the student passes the exam

A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only one of them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly). Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probabilities for the two events below. i. the student gets exactly 3 questions correct. ii. the student passes the exam

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Theresa has a bag with 4 mint sticks, 12 jelly treats, and 4 fruit tart chews. If she eats one piece every 6 minutes, what is the probability her first two pieces will be a fruit tart chew and a jelly treat and represent as a percent to the nearest tenth if necessary?A. 21.1%B. 12%C. 0.4%D. 12.6%
There are 55 customers in the cafeteria, 30 bought either bought coffee or a bagel. There were 35 customers who bought a bagel and 45 who bought coffee. What is the probability of randomly selecting a customer who bought both coffee and a bagel? Show your work on the scratchpad. P (Coffee and Bagel) = Write you answer as a fraction reduced.
A = 11 B = 2 C= 2 D = 0 F = 1 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 98, 95, 72
Kaya is planning a 4-day vacation at the beach. The forecast has a 25% chance of rain for each of those three days. What is the probability that it will rain just one of the four days? Show calculations and explain reasoning!
46% of an insurance agents clients have life insurance, 40% have auto insurance and 28% have both policies. Why is the probability that a randomly selected client has life insurance or auto insurance? write the answer in decimal form.
During a basketball game, Sebastián is shooting two free throws. He makes 95% of his free throws. Assuming that his free throws are independent events, find the percent chance that he... (Note: Do not round your answers.) is in the groove and makes both free throws. makes the first and then misses the second. misses the first and then makes the second. struggles and misses both of his free throws. What is the sum of these four answers? % % % do %
The probability of getting malaria after a mosquito bite is 32%. Eight friends go hiking and all are bitten. What is the probability that less than three of them got malaria?
A teacher is making a student list for her field trip. She has decided to select a total of 10 students. She has 9 boys and 11 girls. What is the probability that 5 of the selected guests are boys? Show steps and solution.
Three students ABC are in a running race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins.